You are given that X is a random variable with moment generating function Mx(t) and that Y is a random variable with moment generating function My(t). X and Y are independent. Which of the following is a valid moment generating function? 1. Мx(€) Мү(40) II. 3Mx(t) III. e' M x (t)

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Q: a) Find the moment generating function of X. b) Use the MGF to find E(X) and Var(X).

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Q: If Y is a random variable with moment generating function my (t)= e° , what is the mean of Y ?

A: Solution: Let Y be random variable with Moment generating function

Q: (a) Compute P(E' n F'). (b) Are E and F independent? (c) Are E and F mutually exclusive?

A: here p(E) = 0.3 p(F) = 0.6  p(E | F) = 1/6

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A: Step 1: Step 2: Step 3: Step 4:

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Q: if x be a random variable with moment generating function m,(t) = (0.6 + 0.4e')1º then E(x)= %3D

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Q: Q1: Let x-B(n,0) Find: 1. Variance (x) 2. Moment generating function 3. When e =0.8,n= 10 find p(x S…

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